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Refined error estimates for the Riccati equation with applications to the angular Teukolsky equation

Finster, Felix and Smoller, Joel (2013) Refined error estimates for the Riccati equation with applications to the angular Teukolsky equation. Preprintreihe der Fakultät Mathematik 14/2013, Working Paper.

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Date of publication of this fulltext: 14 Oct 2013 08:18

Abstract

We derive refined rigorous error estimates for approximate solutions of
Sturm-Liouville and Riccati equations with real or complex potentials. The approxi-
mate solutions include WKB approximations, Airy and parabolic cylinder functions,
and certain Bessel functions. Our estimates are applied to solutions of the angular
Teukolsky equation with a complex aspherical parameter in a rotating black hole
Kerr geometry.


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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2013
Institutions:Mathematics > Prof. Dr. Felix Finster
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:28913
Owner only: item control page

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